The given graph is a representation of kinetics of a reaction. The $y$ and $x$ axes for zero and first order reactions,respectively are

  • A
    zero order ($y=$ concentration and $x=$ time),first order ($y=$ rate constant and $x=$ concentration)
  • B
    zero order ($y=$ rate and $x=$ concentration),first order ($y=t_{1/2}$ and $x=$ concentration)
  • C
    zero order ($y=$ rate and $x=$ concentration),first order ($y=$ rate and $x=t_{1/2}$)
  • D
    zero order ($y=$ concentration and $x=$ time),first order ($y=t_{1/2}$ and $x=$ concentration)

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Under the same reaction conditions, initial concentration of $1.386 \ mol \ dm^{-3}$ of a substance becomes half in $40 \ s$ and $20 \ s$ through first-order and zero-order kinetics respectively. Ratio $\left(\frac{k_{1}}{k_{0}}\right)$ of the rate constants for first-order $\left(k_{1}\right)$ and zero-order $\left(k_{0}\right)$ of the reactions is

The rate of a chemical reaction depends upon

Fill in the blanks:
$(1)$ The time required to complete $99.9\%$ of a first-order reaction is ............ times the ${t_{1/2}}$.
$(2)$ The reaction in which the rate is given by $-\frac{d[R]}{dt} = k$ has an order of reaction equal to ........
$(3)$ For the reaction $[R] = [R]_0 e^{-kt}$,the order is .......

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Fill in the blanks:
$(1)$ If $t_{1/2} = \frac{0.693}{k}$,then the order of reaction is .......... .
$(2)$ For a zero order reaction,$t_{1/2}$ is proportional to .......... of the initial concentration.
$(3)$ In a first order reaction,the rate of reaction is proportional to the .......... exponent of the concentration of the reactant.

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Select the incorrect statement.

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